This is sort of a yes and no answer.
Birmingham’s highest recorded crimes are antisocial behaviours and violent crime, with violent crime being 40% higher than the national average.
However, when comparing Birmingham to other cities of similar size (for example, Manchester) the overall crime rate is much lower.
Birmingham is a large, densely populated city so there is more crime but also note that, for some reason, Birmingham tends to be painted with the DANGER brush more so than other large cities.
Your common sense will serve you best here: don’t go out alone, stay in well-lit/busy areas, don’t flash your cash, lock your doors and windows and always be aware of your surroundings.